On the McKay quivers and \(m\)-Cartan matrices.

DOI10.1007/s11425-008-0176-yzbMath1181.16014OpenAlexW1993242509MaRDI QIDQ1042929

Jin-Yun Guo

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0176-y

zbMATH Keywords

Cartan matricesquadratic formsMcKay quiversEuclidean diagrams

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Generalized McKay quivers of rank three ⋮ The duality of Auslander-Reiten quiver of path algebras ⋮ On \(n\)-slice algebras and related algebras ⋮ Projective resolutions of simples of n-cubic algebras

Cites Work

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• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Affine quivers and canonical bases
• Projective algebras, differential operators and a Conze embedding for deformations of Kleinian singularities
• Noncommutative deformations of Kleinian singularities
• Selfinjective Koszul algebras of finite complexity.
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• McKay Quivers and Extended Dynkin Diagrams
• Rational Singularities and Almost Split Sequences
• The preprojective algebra of a tame hereditary artin algebra
• ALGEBRA PAIRS ASSOCIATED TO McKAY QUIVERS

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